3,689 research outputs found
Proper actions of Lie groups of dimension on -dimensional complex manifolds
In this paper we continue to study actions of high-dimensional Lie groups on
complex manifolds. We give a complete explicit description of all pairs
, where is a connected complex manifold of dimension ,
and is a connected Lie group of dimension acting effectively and
properly on by holomorphic transformations. This result complements a
classification obtained earlier by the first author for and a classical result due to W. Kaup for the maximal group dimension
.Comment: 60 page
Increasing stability for the inverse problem for the Schr\"odinger equation
In this article, we study the increasing stability property for the
determination of the potential in the Schr\"odinger equation from partial data.
We shall assume that the inaccessible part of the boundary is flat and
homogeneous boundary condition is prescribed on this part. In contrast to
earlier works, we are able to deal with the case when potentials have some
Sobolev regularity and also need not be compactly supported inside the domain
Asymptotic enumeration of Eulerian circuits for graphs with strong mixing properties
We prove an asymptotic formula for the number of Eulerian circuits for graphs
with strong mixing properties and with vertices having even degrees. The exact
value is determined up to the multiplicative error ,
where is the number of vertice
- …